Construct a 2 × 2 matrix A = \( [a_{i j}]\) whose elements ai j are given by \( a_{i j} = \dfrac{(2i + j)^2}{2}\)

Asked by Aaryan | 1 year ago |  53

1 Answer

Solution :-

Given \(a_{i j} =\dfrac{ (2i + j)^2} {2}\)

Let A = [ai j]2×2

So, the elements in a 2 × 2 matrix are

a11, a12, a21, a22

RD Sharma Solutions for Class 12 Maths Chapter 5 Image 42

a11 = 4.5

a12 = 8

a21 = 12.5

a22 =  18

Substituting these values in matrix A we get,

RD Sharma Solutions for Class 12 Maths Chapter 5 Image 47

RD Sharma Solutions for Class 12 Maths Chapter 5 Image 48

Answered by Aaryan | 1 year ago

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